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Finding the Fourth Proportional to 435,403.20, 653,104.80 and 323,428.80

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Solution

The fourth proportional to 435,403.20, 653,104.80 and 323,428.80 is: 485,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,403.20 : 653,104.80 = 323,428.80 : x
  2. Step 2: Convert to fraction form
    435,403.20/653,104.80 = 323,428.80/x
  3. Step 3: Cross multiply
    435,403.20x = 653,104.80 × 323,428.80
  4. Step 4: Simplify right side
    435,403.20x = 211,232,901,738.24
  5. Step 5: Solve for x
    x = 211,232,901,738.24/435,403.20
  6. Step 6: Final answer
    x = 485,143.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.